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# 6.3: Solve for the Unknown Extras

Difficulty Level: At Grade Created by: CK-12

Extra for Experts: Solve for the Unknown - Apply Order of Operations

Figure out the value of each variable.

Parentheses first

Multiplication and division, left to right

Addition and subtraction, left to right

1.12+2×3÷6+(74)=q q=2.4×(62)÷2×3=t t=3.2×(111)÷2=g g=4.3×(124)(52)=m m=5.5×(7+3)÷2+25=s s=\begin{align*}1. \quad 12 + 2 \times 3 \div 6 + (7 - 4) = q\!\\ \!\\ {\;} \quad \ q = \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\!\\ \!\\ 2. \quad 4 \times (6 - 2) \div 2 \times 3 = t\!\\ \!\\ {\;} \quad \ t = \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\!\\ \!\\ 3. \quad 2 \times (11 - 1) \div 2 = g\!\\ \!\\ {\;} \quad \ g = \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\!\\ \!\\ 4. \quad 3 \times (12 - 4) - (5 - 2) = m\!\\ \!\\ {\;} \quad \ m = \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\!\\ \!\\ 5. \quad 5 \times (7 + 3) \div 2 + 25 = s\!\\ \!\\ {\;} \quad \ s = \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\end{align*}

Solutions

1. q=16\begin{align*}q = 16\end{align*}
2. t=24\begin{align*}t = 24\end{align*}
3. g=10\begin{align*}g = 10\end{align*}
4. m=21\begin{align*}m = 21\end{align*}
5. s=50\begin{align*}s = 50\end{align*}

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Date Created:
Feb 23, 2012